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Multiplier ideals and modules on toric varieties. (English) Zbl 1061.14055

The author generalizes a formula of J. A. Howald [Trans. Am. Math. Soc. 353, No. 7, 2665–2671 (2001; Zbl 0979.13026)] for the multiplier ideal of monomial ideals in a polynomial ring to the case of torus invariant ideals in an arbitrary (normal) toric variety. Variants for the multiplier module and test ideals are also treated.

MSC:

14M25 Toric varieties, Newton polyhedra, Okounkov bodies
14J17 Singularities of surfaces or higher-dimensional varieties
13A35 Characteristic \(p\) methods (Frobenius endomorphism) and reduction to characteristic \(p\); tight closure

Citations:

Zbl 0979.13026
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